In the flat space-time referred to Galileian coordinates, we derive - in this second paper - the expression of the total energy-momentum spinor, and connected conservation laws in spinor form, for a field defined by a second-rank symmetric spinor and by its complex conjugate. In particular, for the free electromagnetic field in vacuo, we get the energy-momentum spinor expressed by the two parts of the electromagnetic spinor depending on the hermitian part and on the anti-hermitian one of the potential spinor.